what is the significance of a broken or dotted line in the graph of a linear inequality in two variables?

Question

what is the significance of a broken or dotted line in the graph of a linear inequality in two variables?

Answer 1

points on the line are not in the region

for example if u r asked the plot the region that satisfies

x+y < 2 u use dotted lines

if x + y < = continues line

Answer 2

(1) A broken or dotted line means that the points on the lines are not solutions to the inequality, ie, the inequality is > or < rather than ≤ or ≥.



(2) Given an ordered pair, just plug the pair into the equation. If the equation is true after you've plugged the values in, than it is a solution. But ifyou end up with an untrue statement, like 1=2, then it isn't a solution.



(3) This is the same as #2; you can plug the ordered pair into the equation and see if it is true.

Answer 3

a dotted line means that its as close as can be to that line. but its not quite there.



a solid line means that it is those points that the line goes through.



the way you can tell is by pluging in the orderd pair to the equation. for emaple if the ordere pair was (2,3) put 2for the x in the equation and 3 for the y. if the equaitions comes out true, then it is on the line.

y=2x-5 x=2, y=3

3=2(2)-5

3=4-5

3=-1 its not true therefore this point is not on that line.



hope it helped

Answer 4

a million) It skill strict inequality (there ">" or "<" sign isn't underlined). the line (which represents equality) isn't portion of the answer set. 2) Plug the values of x and y into the equation ans see if the equality holds. 3) Are we speaking approximately y being a function of x? Or x being a function of y? This should be spelled out. as quickly as that's spelled out (say is y a function of x?) you're able to be able to desire to be certain whether y has a special value for each feasible value of x. consequently y isn't a function of x because of the fact damaging values of x will yield no values for y, and advantageous values of x will each and each yield 2 values (plus and minus the sq. root of x). even however, x is a function of y.

Answer 5

a dotted line means that it is less than or greater than-----not equal to

Answer 6

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